Question

A scale model of a rectangular building lot measures 7 feet by 5 feet. If the actual house will be built using a scale factor of 12, what is the area of the actual building lot?

Answer 1

The area of the actual building lot is
`5,040\ ft^2`

Explanation:

Scaling

The scaled rectangular building measures 7 feet by 5 feet. We know both magnitudes were scaled by a factor of 12, thus the real dimensions of the house to be built are 7*12=84 feet, and 5*12=60 feet.

The area of the actual building lot is calculated by:

`A=84\ ft*60\ ft=5,040\ ft^2`

The area of the actual building lot is
`5,040\ ft^2`